Thermal activation of rupture and slow crack growth in a model of homogenous brittle materials

Stéphane Santucci; Loïc Vanel; Alessio Guarino; Riccardo Scorretti; Sergio Ciliberto

Thermal activation of rupture and slow crack growth in a model of homogenous brittle materials

Stéphane Santucci ¹ Loïc Vanel ¹ Alessio Guarino ² Riccardo Scorretti ³ Sergio Ciliberto ¹

1 Phys-ENS - Laboratoire de Physique de l'ENS Lyon

3 CEGELY - Centre de génie électrique de Lyon

Abstract : Slow crack growth in a model of homogenous brittle elastic material is described as a thermal activation process where stress fluctuations allow to overcome a breaking threshold through a series of irreversible steps. We study the case of a single crack in a flat sheet for which analytical predictions can be made, and compare them with results from the equivalent problem of a 2D spring network. Good statistical agreement is obtained for the crack growth profile and final rupture time. The specific scaling of the energy barrier with stress intensity factor appears as a consequence of irreversibility. In addition, the model brings out a characteristic growth length whose physical meaning could be tested experimentally.

Keywords : Brittle fracture Delayed rupture Crack growth Thermal activation

Document type :

Journal articles

Domain :

Physics [physics] / Condensed Matter [cond-mat] / Materials Science [cond-mat.mtrl-sci]

Physics [physics] / Mechanics [physics] / Mechanics of materials [physics.class-ph]

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https://hal-ens-lyon.archives-ouvertes.fr/ensl-00156844
Contributor : Loïc Vanel <>
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Thermal activation of rupture and slow crack growth in a model of homogenous brittle materials

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